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Finding the Third Proportional to 18,797 and 29,765

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Solution

The third proportional to 18,797 and 29,765 is: 47,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,797 : 29,765 = 29,765 : x
  2. Step 2: Convert to fraction form
    18,797/29,765 = 29,765/x
  3. Step 3: Cross multiply
    18,797x = 29,765 × 29,765
  4. Step 4: Simplify right side
    18,797x = 885,955,225
  5. Step 5: Solve for x
    x = 885,955,225/18,797
  6. Step 6: Final answer
    x = 47,132.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.